Linearizing a certain family of nonlinear differential equations

TL;DR

This paper presents a method to transform a specific family of nonlinear differential equations into linear ones, simplifying their solution process.

Contribution

It introduces a novel approach for linearizing a particular class of nonlinear differential equations.

Findings

Reduction of nonlinear to linear differential equations

Simplified solution process for the family of equations

Potential applications in solving complex differential equations

Abstract

We show how to reduce the problem of solving members of a certain family of nonlinear differential equations to that of solving some corresponding linear differential equations.